58127220 has 120 divisors (see below), whose sum is σ = 186062184. Its totient is φ = 15185664.

The previous prime is 58127197. The next prime is 58127227. The reversal of 58127220 is 2272185.

It can be written as a sum of positive squares in 4 ways, for example, as 29354724 + 28772496 = 5418^2 + 5364^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58127227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85522 + ... + 86198.

Almost surely, 2^58127220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58127220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93031092).

58127220 is an abundant number, since it is smaller than the sum of its proper divisors (127934964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

58127220 is a wasteful number, since it uses less digits than its factorization.

58127220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 58127220 is about 7624.1209329338. The cubic root of 58127220 is about 387.3704763086.

The spelling of 58127220 in words is "fifty-eight million, one hundred twenty-seven thousand, two hundred twenty".